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Finding the Fourth Proportional to 222,413.77, 306,931.14 and 120,440.03

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Solution

The fourth proportional to 222,413.77, 306,931.14 and 120,440.03 is: 166,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,413.77 : 306,931.14 = 120,440.03 : x
  2. Step 2: Convert to fraction form
    222,413.77/306,931.14 = 120,440.03/x
  3. Step 3: Cross multiply
    222,413.77x = 306,931.14 × 120,440.03
  4. Step 4: Simplify right side
    222,413.77x = 36,966,796,476.86
  5. Step 5: Solve for x
    x = 36,966,796,476.86/222,413.77
  6. Step 6: Final answer
    x = 166,207.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.